Given EF is the midsegment of Isosceles trapezoid ABCD. BC = 17x, EF = 22.5x + 9 and AD = 30x + 12, find x.?

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Given EF is the midsegment of Isosceles trapezoid ABCD. BC = 17x, EF = 22.5x + 9 and AD = 30x + 12, find x.?

2007-08-05 15:32:38 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

1 answers

Assuming BC and AD are the two bases of the trapezoid, you need to have EF, the midsegment, equal to the arithmetic mean of BC and AD, because this is a property of a trapezoid. So you get the equation 0.5(17x + 30x + 12) = 22.5x + 9, which is now a simple algebra problem.

2007-08-05 15:37:47 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋